issoceles triangle SIX has congruent sides SI and IX and vertices S at (X,5), I at (-2,2), and X at (4,-1), where x>0.
issoceles triangle SIX has congruent sides SI and IX and vertices S at (X,5), I at...
4. A triangle has vertices at W(2,3), V(-6,-3) and X(0,-5). Use algebra to 1) determine the midpoints of the sides of the triangle. Label each midpoint A, B, and C. 2) verify each of the midsegments are parallel to the third side. 3) show the perimeter of the midsegment triangle is half the perimeter of AWVX.
4. a) Draw an example of two non congruent triangles that satisfy the following conditions. If not possible, explain why. (1) The two triangles have congruent corresponding angles. (ul) The two triangles have congruent corresponding angles, and one pair of sides (not corresponding sides) congruent. () The two triangles have congruent corresponding angles, and two pairs of sides (not corresponding sides) congruent. b) (i) is the statement "If A ABC A DEF, then 2CAB ELFED", true or false? Clearly explain...
We can play a variation of a child's game called "What am 12" that I will call "Where am 1? (a) I am a square. The intersection of my two diagonals lies at the point (4, 4), and the length of each of my sides is 8. My sides form horizontal and vertical lines. Where am I? Order your answers from smallest to largest x, then from smallest to largest y.) x, y) (x, y)s x, y) (x, y) (b)...
Find the area of the triangle with the given vertices. Use the fact that the area of the triangle having u and v as adjacent sides is given by A = - 1 u xv ||- (3, 5, 7), (5, 5, 0), (-4, 0,5) A= Neea Help? camneck with CamScanner vurm Answer
5. Evaluate SS x+2y da where R is the triangle with vertices (0,3), (4,1), and (2,6). Use the transformation x=-(u- *=£cu-v),= (3u+v+12). 6. Evaluate S 2 ydx+(1 – x)dy along the curve C given by y=1 –x" from x = -1 to x = 2.
1. Triangle ABC has sides a, b, and c, with C 90. Use the given sides to find the six trigonometric values ofA. 30 points a 5 ft c 6 ft b.
5. Assume Euclidean geometry. Prove the following: if a trapezoid has congruent legs i.e. the non-parallel sides have the same length), then the angles at the base of the trapezoid are congruent 6.Assume Euclidean geometry. Let ABCD be a trapezoid with ADI BC and with AB-AD. Show that BD bisects angle LABC. 5. Assume Euclidean geometry. Prove the following: if a trapezoid has congruent legs i.e. the non-parallel sides have the same length), then the angles at the base of...
16. + -/2 points My Notes Let S be the triangle with vertices A = (5, 5, 5), B = (7,5, 4), and C = (5, 6, 1). (a) Find the exact length of the shortest side of S. units (b) Find the exact value of the cosine of the angle BAC. COS(BAC) =
Given the following vectors F=[y2, x2,x-z] and surface S: the triangle surface with vertices (0,0,1), (1,0,1), (1,1,1) in first octave. A. Evaluate the surface integral F(F) . dA B. Evaluate the surface integral VxF(F) dA C. Evaluate the line integral F() di where C is the curve enclosing the triangle. (Don't apply Green's theorem and integrate directly) Given the following vectors F=[y2, x2,x-z] and surface S: the triangle surface with vertices (0,0,1), (1,0,1), (1,1,1) in first octave. A. Evaluate the...
2. (18 pts) Consider an isosceles triangle that has its base on the x-axis. The apex of the triangle is at the point (O.y), where y > 0, and the remaining two vertices are at the points (x, 0) and (-x,0), where x > 0 (see figure). The area of the triangle is 120 in? This triangle lies inside a bigger isosceles triangle that also has its base on the x-axis. The apex of the bigger triangle is at the...